ORIGINAL: Yankee
One of the most overlooked chase scenes (probably because it doesn't involve any American cars), but still one the best - Ronin, a 5-series BMW vs... now I can't remember what the other car was (was it an Audi? Might have been some French car - anyone know?). This came out in 1998 and has Robert DeNiro - if you can overlook the fact that it's a foreign movie, it's worth seeing just for the 20-minute chase scene alone.
It was either a renault or peugot